Continuous inclusions and Bergman type operators in n-harmonic mixed norm spaces on the polydisc

We study anisotropic mixed norm spaces of n-harmonic functions in the unit polydisc of Cn. Bergman type reproducing integral formulas are established by means of fractional derivatives and some continuous inclusions. It gives us a tool to construct corresponding projections and related operators and prove their boundedness on the mixed norm and Besov spaces.  2003 Elsevier Inc. All rights reserved.